Results 31 to 40 of about 125,110 (329)
On the modularity of supersingular elliptic curves over certain totally real number fields [PDF]
, 2007 We study generalisations to totally real fields of methods originating with Wiles and Taylor-Wiles. In view of the results of Skinner-Wiles on elliptic curves with ordinary reduction, we focus here on the case of supersingular reduction. Combining these,
Jarvis, Frazer, Manoharmayum, Jayanta
core +2 more sources
An ECDLP-Based Verifiable Multi-Secret Sharing Scheme [PDF]
Mathematics Interdisciplinary Research, 2020 Secret sharing is an important issue in cryptography which has many applications. In a secret sharing scheme, a secret is shared by a dealer among several participants in such a way that any authorized subset of participants can recover the secret ...
Khadijeh Eslami, Mojtaba Bahramian
doaj +1 more source
A conditional determination of the average rank of elliptic curves [PDF]
, 2014 Under a hypothesis which is slightly stronger than the Riemann Hypothesis for elliptic curve $L$-functions, we show that both the average analytic rank and the average algebraic rank of elliptic curves in families of quadratic twists are exactly $\frac ...
Fiorilli, Daniel
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A heuristic for boundedness of ranks of elliptic curves
, 2018 We present a heuristic that suggests that ranks of elliptic curves over the rationals are bounded. In fact, it suggests that there are only finitely many elliptic curves of rank greater than 21.
Park, Jennifer +3 more
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Horizontal and Vertical Five-Branes in Heterotic/F-Theory Duality [PDF]
, 1999 We consider the heterotic string on an elliptic Calabi-Yau three-fold with five-branes wrapping curves in the base ('horizontal' curves) of the Calabi-Yau as well as some elliptic fibers ('vertical' curves). We show that in this generalized set-up, where
Andreas, Bjorn, Curio, Gottfried
core +5 more sources
Amicable pairs and aliquot cycles for elliptic curves
, 2009 An amicable pair for an elliptic curve E/Q is a pair of primes (p,q) of good reduction for E satisfying #E(F_p) = q and #E(F_q) = p. In this paper we study elliptic amicable pairs and analogously defined longer elliptic aliquot cycles. We show that there
Baier [Baier and Zhao 08] S. +29 more
core +1 more source
Elliptic K3 surfaces associated with the product of two elliptic curves: Mordell-Weil lattices and their fields of definition [PDF]
, 2016 To a pair of elliptic curves, one can naturally attach two K3 surfaces: the Kummer surface of their product and a double cover of it, called the Inose surface.
Kumar, Abhinav, Kuwata, Masato
core +1 more source
A Feynman integral depending on two elliptic curves
Journal of High Energy Physics, 2022 We study a two-loop four-point function with one internal mass. This Feynman integral is one of the simplest Feynman integrals depending on two elliptic curves. We transform the associated differential equation into an ε-form. We study the entries of the
Hildegard Müller, Stefan Weinzierl
doaj +1 more source
, 2018 Elliptic curves have found widespread use in number theory and applications thereof, such as cryptography. In this paper we will first examine the basic theory of elliptic curves and then look specifically at how they can be used to construct cryptographic
Estep, Samuel
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FEBS Open Bio, EarlyView.Stem cell‐based embryo models (SCBEMs) are valuable to study early developmental milestones. Matrigel, a basement membrane matrix, is a critical substrate used in various SCBEM protocols, but its role in driving stem cell lineage commitment is not clearly defined.
Atoosa Amel +3 more
wiley +1 more source